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Finding the Fourth Proportional to 1,033.44, 1,549.12 and 416.80

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Solution

The fourth proportional to 1,033.44, 1,549.12 and 416.80 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.44 : 1,549.12 = 416.80 : x
  2. Step 2: Convert to fraction form
    1,033.44/1,549.12 = 416.80/x
  3. Step 3: Cross multiply
    1,033.44x = 1,549.12 × 416.80
  4. Step 4: Simplify right side
    1,033.44x = 645,673.22
  5. Step 5: Solve for x
    x = 645,673.22/1,033.44
  6. Step 6: Final answer
    x = 624.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.